Answer:
Part A) The scale factor is ![2](https://tex.z-dn.net/?f=2)
The dimensions of the larger rectangular prism are
![Length=16\ ft](https://tex.z-dn.net/?f=Length%3D16%5C%20ft)
![Width=4\ ft](https://tex.z-dn.net/?f=Width%3D4%5C%20ft)
![Heigth=12\ ft](https://tex.z-dn.net/?f=Heigth%3D12%5C%20ft)
Part B) The volume of the smaller rectangular prism is ![96\ ft^{3}](https://tex.z-dn.net/?f=96%5C%20ft%5E%7B3%7D)
Part C) The volume of the enlarged rectangular prism is ![768\ ft^{3}](https://tex.z-dn.net/?f=768%5C%20ft%5E%7B3%7D)
Step-by-step explanation:
Part A)
we know that
If the dimensions of the prism are doubled, then the scale factor is equal to ![2](https://tex.z-dn.net/?f=2)
so
To find the dimensions of the larger rectangular prism, multiply the scale factor by the dimensions of the smaller rectangular prism
![Length=2*8=16\ ft](https://tex.z-dn.net/?f=Length%3D2%2A8%3D16%5C%20ft)
![Width=2*2=4\ ft](https://tex.z-dn.net/?f=Width%3D2%2A2%3D4%5C%20ft)
![Heigth=2*6=12\ ft](https://tex.z-dn.net/?f=Heigth%3D2%2A6%3D12%5C%20ft)
Part B) What is the volume of the smaller rectangular prism?
we know that
The volume of a rectangular prism is equal to
![V=LWH](https://tex.z-dn.net/?f=V%3DLWH)
we have
![L=8\ ft](https://tex.z-dn.net/?f=L%3D8%5C%20ft)
![W=2\ ft](https://tex.z-dn.net/?f=W%3D2%5C%20ft)
![H=6\ ft](https://tex.z-dn.net/?f=H%3D6%5C%20ft)
substitute the values
![V=8*2*6=96\ ft^{3}](https://tex.z-dn.net/?f=V%3D8%2A2%2A6%3D96%5C%20ft%5E%7B3%7D)
Part C) What is the volume of the enlarged rectangular prism?
we know that
The volume of a rectangular prism is equal to
![V=LWH](https://tex.z-dn.net/?f=V%3DLWH)
we have
![L=16\ ft](https://tex.z-dn.net/?f=L%3D16%5C%20ft)
![W=4\ ft](https://tex.z-dn.net/?f=W%3D4%5C%20ft)
![H=12\ ft](https://tex.z-dn.net/?f=H%3D12%5C%20ft)
substitute the values
![V=16*4*12=768\ ft^{3}](https://tex.z-dn.net/?f=V%3D16%2A4%2A12%3D768%5C%20ft%5E%7B3%7D)
Remember that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z------> scale factor
x-----> volume of the enlarged prism
y-----> volume of the smaller prism
so
![z^{3}=\frac{x}{y}](https://tex.z-dn.net/?f=z%5E%7B3%7D%3D%5Cfrac%7Bx%7D%7By%7D)
![x=y*z^{3}](https://tex.z-dn.net/?f=x%3Dy%2Az%5E%7B3%7D)
we have
![z=2](https://tex.z-dn.net/?f=z%3D2)
![y=96\ ft^{3}](https://tex.z-dn.net/?f=y%3D96%5C%20ft%5E%7B3%7D)
substitute
---> is ok
Answer:
wat?
Step-by-step explanation:hvhnn
The cost increases 2.5$ for every additional pair of shoes rented.
Cost of 1st pair is 2.5$, cost of 2nd pair is increased by 2.54 so 2nd pair is 5$, cost of 3rd pair is increased by 2.5$ so 3rd pair is 7.5$ and cost of 4th is also increasing by 2.5$ so cost is 10$ for 4th pair.
Answer:
please can u give full question